137942661903200
137,942,661,903,200 is an even composite number composed of seven prime numbers multiplied together.
137942661903200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 137942661903200:
25 × 52 × 7 × 112 × 172 × 312 × 733
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 11 × 17 × 17 × 31 × 31 × 733)See below for interesting mathematical facts about the number 137942661903200 from the Numbermatics database.
Names of 137942661903200
- Cardinal: 137942661903200 can be written as One hundred thirty-seven trillion, nine hundred forty-two billion, six hundred sixty-one million, nine hundred three thousand, two hundred.
Scientific notation
- Scientific notation: 1.379426619032 × 1014
Factors of 137942661903200
Divisors of 137942661903200
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 17 20 22 25 28 31 32 34 35 40 44 50 55 56 62 68 70 77 80 85 88 100 110 112 119 121 124 136 140 154 155 160 170 175 176 187 200 217 220 224 238 242 248 272 275 280 289 308 310 340 341 350 352 374 385 400 425 434 440 476 484 496 527 544 550 560 578 595 605 616 620 680 682 700 733 748 770 775 800 847 850 868 880 935 952 961 968 992 1054 1085 1100 1120 1156 1190 1210 1232 1240 1309 1360 1364 1400 1445 1466 1496 1540 1550 1694 1700 1705 1736 1760 1870 1904 1922 1925 1936 2023 2057 2108 2170 2200 2312 2380 2387 2420 2464 2480 2618 2635 2720 2728 2800 2890 2932 2975 2992 3025 3080 3100 3179 3388 3400 3410 3472 3665 3689 3740 3751 3808 3844 3850 3872 4046 4114 4216 4235 4340 4400 4624 4675 4760 4774 4805 4840 4960 5131 5236 5270 5425 5456 5600 5780 5797 5864 5950 5984 6050 6160 6200 6358 6545 6727 6776 6800 6820 6944 7225 7330 7378 7480 7502 7688 7700 8063 8092 8228 8432 8470 8525 8680 8800 8959 9248 9350 9520 9548 9610 9680 10115 10262 10285 10472 10540 10571 10850 10912 11560 11594 11728 11900 11935 12100 12320 12400 12461 12716 13090 13175 13454 13552 13600 13640 14399 14450 14660 14756 14960 15004 15376 15400 15895 16126 16184 16337 16456 16864 16940 17050 17360 17918 18325 18445 18700 18755 19040 19096 19220 19360 20230 20524 20570 20944 21080 21142 21175 21700 22253 22723 23120 23188 23456 23800 23870 24025 24200 24800 24922 25432 25655 26180 26257 26350 26908 27104 27280 28798 28900 28985 29320 29512 29920 30008 30752 30800 31790 32252 32368 32674 32725 32912 33635 33880 34100 34720 34969 35836 36650 36890 37400 37510 38192 38440 40315 40460 40579 41048 41140 41888 42160 42284 42350 43400 44506 44795 45446 46240 46376 47600 47740 48050 48400 49844 50575 50864 51310 51425 52360 52514 52700 52855 53816 54560 56441 57596 57800 57970 58640 59024 59675 60016 61600 62305 62713 63580 63767 64504 64736 65348 65450 65824 67270 67760 68200 69938 71672 71995 73300 73780 73997 74800 75020 76384 76880 79475 80630 80920 81158 81685 82096 82280 84320 84568 84700 86800 87227 88693 89012 89590 90892 92225 92752 93775 95200 95480 96100 96800 98549 99688 101150 101728 102620 102850 104720 105028 105400 105710 107632 111265 112882 113615 114359 115192 115600 115940 116281 117280 118048 119350 120032 124610 125426 127160 127534 128275 129008 130696 130900 131285 134540 135520 136400 137071 139876 143344 143990 144925 146600 147560 147994 149600 150040 153760 158950 159061 161260 161840 162316 163370 164192 164560 168175 169136 169400 173600 174454 174845 177386 178024 179180 179707 181784 184450 185504 187550 190960 192200 197098 199376 201575 202300 202895 205240 205700 209440 210056 210800 211420 211837 215264 222530 223975 225764 227230 228718 230384 231200 231880 232562 238700 244783 249220 249953 250852 254320 255068 256550 258016 261392 261800 262570 264275 269080 272800 274142 277729 279752 282205 286688 287980 289850 293200 295120 295988 300080 311525 313565 317900 318122 318835 322520 323680 324632 326740 329120 336350 338272 338800 348908 349690 354772 356048 358360 359414 359975 363568 368900 369985 375100 381920 384400 386291 394196 398752 403150 404600 405790 408425 410480 411400 420112 421600 422840 423674 436135 443465 445060 446369 447950 451528 454460 457436 460768 463760 465124 477400 489566 492745 498440 499906 501704 508640 510136 513100 522784 523600 525140 528550 538160 548284 555458 556325 559504 564410 568075 571795 575960 579700 581405 586400 590240 591976 600160 620851 623050 627130 635800 636244 637670 645040 649264 653480 656425 672700 677600 685355 689843 697816 699380 704413 709544 712096 716720 718828 719950 727136 737800 739970 750200 768800 772582 788392 795305 806300 809200 811580 813967 816850 820960 822800 840224 845680 847348 872270 874225 886930 890120 892738 895900 898535 903056 908920 914872 927520 930248 954800 959497 979132 985490 996880 999812 1003408 1014475 1020272 1026200 1047200 1050280 1057100 1059185 1076320 1084039 1096568 1110916 1112650 1119008 1128820 1136150 1143590 1151920 1159400 1162810 1183952 1223915 1241702 1246100 1249765 1254260 1257949 1271600 1272488 1275340 1290080 1298528 1306960 1312850 1345400 1370710 1379686 1388645 1395632 1398760 1408826 1411025 1419088 1433440 1437656 1439900 1475600 1479940 1482859 1500400 1507781 1545164 1567825 1576784 1590610 1594175 1612600 1618400 1623160 1627934 1633700 1645600 1691360 1694696 1744540 1748450 1749671 1773860 1780240 1785476 1791800 1797070 1806112 1817840 1829744 1849925 1860496 1909600 1918994 1931455 1944103 1958264 1970980 1976777 1993760 1999624 2006816 2028950 2040544 2052400 2100560 2114200 2118370 2168078 2180675 2193136 2217325 2221832 2225300 2231845 2257640 2272300 2287180 2303840 2318800 2325620 2330207 2367904 2447830 2463725 2483404 2492200 2499530 2508520 2515898 2543200 2544976 2550680 2613920 2625700 2690800 2704037 2741420 2749483 2759372 2777290 2791264 2797520 2817652 2822050 2838176 2858975 2875312 2879800 2907025 2951200 2959880 2965718 3000800 3015562 3055019 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8139670 8456800 8473480 8498402 8672312 8722700 8748355 8869300 8887328 8901200 8927380 8985350 9030560 9089200 9148720 9302480 9320828 9594970 9657275 9720515 9791320 9854900 9861782 9883885 9933616 9968800 9998120 10034080 10063592 10202720 10502800 10554467 10591850 10816148 10840390 10965680 10997932 11037488 11109160 11159225 11270608 11288200 11435900 11519200 11628100 11651035 11839520 11862872 11975021 12062248 12220076 12239150 12361312 12417020 12497650 12542600 12579490 12724880 12753400 13023472 13069600 13133894 13520185 13707100 13747415 13796860 13837439 13886450 13956320 13987600 13997368 14088260 14190880 14283808 14376560 14799400 14828590 15077810 15176546 15275095 15351952 15451640 15497086 15521275 15552824 15767840 15814216 15906100 16231600 16279340 16311449 16946960 16996804 17246075 17344624 17445400 17496710 17610325 17738600 17802400 17854760 17970700 18178400 18297440 18604960 18641656 19189940 19246381 19314550 19441030 19582640 19709800 19723564 19767770 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47974850 48248992 48602575 48880304 48956600 49308910 49419425 49668080 49990600 50170400 50317960 51013600 51264554 52535576 52772335 54080740 54201950 54239801 54828400 54989660 55187440 55349756 55545800 55989472 56353040 58255175 59197600 59314360 59488814 59875105 60311240 60706184 61100380 61806560 61988344 62085100 62211296 62897450 63256864 63624400 65117360 65245796 65669470 67210418 67600925 67987216 68737075 68984300 69187195 69781600 69986840 70441300 70954400 71419040 71882800 72236417 74142950 74566624 75389050 75882730 76375475 76759760 76985524 77258200 77485430 77764120 78839200 78894256 79071080 81396700 81557245 83825147 84435736 84734800 84984020 85233973 85540532 86529184 86723120 87483550 87983456 89273800 91487200 91937258 93024800 93208280 93482422 95800168 95949700 96231905 97205150 97760608 97913200 98617820 98838850 99336160 99981200 100635920 102529108 105071152 105544670 106230025 106925665 108161480 108403900 108479602 109656800 109979320 110374880 110699512 111091600 112706080 116510350 118628720 118977628 119750210 120622480 121412368 122200760 123272275 123976688 124170200 125794900 127248800 128161385 130234720 130491592 131338940 131725231 134420836 135201850 135974432 137474150 137968600 138374390 139973680 140882600 143765600 144472834 148285900 148722035 150778100 151765460 152750950 153519520 153971048 154516400 154970860 155528240 157788512 158142160 162793400 163114490 164173675 167650294 168026045 168871472 169469600 169968040 170467946 171081064 173446240 174967100 178547600 179425939 183874516 186416560 186964844 189706825 191600336 191899400 192463810 193713575 194410300 195826400 197235640 197677700 199962400 201271840 203575357 205058216 210142304 211089340 212460050 213851330 216322960 216807800 216959204 219958640 221399024 222183200 229843145 233020700 233706055 235236463 237257440 237955256 239500420 241244960 242824736 244401520 246544550 247953376 248340400 251589800 256322770 260983184 262677880 263450462 263861675 268841672 270403700 271199005 274948300 275937200 276748780 279947360 281765200 288945668 296571800 297444070 299375525 301556200 303530920 305501900 307942096 309032800 309941720 311056480 316284320 325586800 326228980 327188477 328347350 335300588 336052090 337742944 339936080 340935892 342162128 345935975 349934200 357095200 358851878 361182085 367749032 372833120 373929688 379413650 383200672 383798800 384927620 387427150 388820600 394471280 395355400 407150714 407786225 410116432 419125735 422178680 424920100 426169865 427702660 432645920 433615600 433918408 439917280 442798048 459686290 466041400 467412110 470472926 475910512 479000840 481159525 488803040 493089100 496680800 503179600 505654919 512645540 521966368 525355760 526900924 527723350 534628325 537683344 540807400 542398010 549896600 551874400 553497560 563530400 577891336 593143600 594888140 596637811 598751050 603112400 607061840 611003800 615884192 619883440 640806925 651173600 652457960 654376954 656694700 658626155 670601176 672104180 679872160 681871784 684324256 691871950 699868400 717703756 722364170 735498064 743610175 747859376 758827300 767597600 769855240 774854300 777641200 788942560 790710800 794600587 814301428 815572450 820232864 838251470 840130225 844357360 849840200 852339730 855405320 867231200 867836816 897129695 919372580 922076617 932082800 934824220 940945852 951821024 958001680 962319050 986178200 1006359200 1011309838 1017876785 1025291080 1050711520 1053801848 1055446700 1069256650 1075366688 1081614800 1084796020 1099793200 1106995120 1149215725 1155782672 1168530275 1176182315 1186287200 1189776280 1193275622 1197502100 1206224800 1214123680 1222007600 1239766880 1281613850 1304915920 1308753908 1313389400 1317252310 1341202352 1344208360 1355995025 1363743568 1383743900 1399736800 1425027499 1435407512 1444728340 1448977541 1470996128 1487220350 1495718752 1517654600 1539710480 1549708600 1555282400 1581421600 1589201174 1628602856 1631144900 1635942385 1676502940 1680260450 1688714720 1699680400 1704679460 1710810640 1735673632 1794259390 1805910425 1838745160 1844153234 1864165600 1869648440 1881891704 1916003360 1924638100 1972356400 2022619676 2035753570 2050582160 2095628675 2107603696 2110893400 2130849325 2138513300 2163229600 2169592040 2199586400 2213990240 2239328927 2298431450 2311565344 2337060550 2352364630 2379552560 2386551244 2395004200 2444015200 2528274595 2563227700 2609831840 2617507816 2626778800 2634504620 2682404704 2688416720 2711990050 2727487136 2767487800 2850054998 2870815024 2889456680 2897955082 2974440700 2983189055 3035309200 3079420960 3099417200 3178402348 3257205712 3262289800 3271884770 3293130775 3353005880 3360520900 3399360800 3409358920 3421621280 3588518780 3611820850 3677490320 3688306468 3739296880 3763783408 3849276200 3944712800 3973002935 4045239352 4071507140 4101164320 4191257350 4215207392 4221786800 4261698650 4277026600 4339184080 4478657854 4485648475 4596862900 4610383085 4674121100 4704729260 4759105120 4773102488 4790008400 5056549190 5089383925 5126455400 5235015632 5253557600 5269009240 5376833440 5423980100 5534975600 5562204109 5700109996 5741630048 5778913360 5795910164 5880911575 5948881400 5966378110 6070618400 6198834400 6356804696 6514411424 6524579600 6543769540 6586261550 6706011760 6721041800 6818717840 7125137495 7177037560 7223641700 7244887705 7354980640 7376612936 7478593760 7527566816 7698552400 7946005870 8090478704 8143014280 8179711925 8382514700 8443573600 8523397300 8554053200 8678368160 8957315708 8971296950 9193725800 9220766170 9348242200 9409458520 9546204976 9580016800 10113098380 10142842787 10178767850 10252910800 10470031264 10538018480 10847960200 11069951200 11124408218 11196644635 11400219992 11557826720 11591820328 11761823150 11897762800 11932756220 12641372975 12713609392 13049159200 13087539080 13172523100 13412023520 13442083600 13637435680 14250274990 14354075120 14447283400 14489775410 14753225872 14915945275 15397104800 15675302489 15892011740 16180957408 16286028560 16359423850 16765029400 17046794600 17108106400 17914631416 17942593900 18387451600 18441532340 18696484400 18818917040 19092409952 19865014675 20226196760 20285685574 20357535700 20505821600 21076036960 21695920400 22248816436 22393289270 22800439984 23051915425 23183640656 23523646300 23795525600 23865512440 24632618197 25282745950 25427218784 26175078160 26345046200 26884167200 27811020545 28500549980 28708150240 28894566800 28979550820 29506451744 29831890550 31350604978 31784023480 32572057120 32718847700 33530058800 34093589200 35625687475 35829262832 35885187800 36224438525 36774903200 36883064680 37392968800 37637834080 39730029350 40452393520 40571371148 40715071400 43391840800 44497632872 44786578540 45600879968 46103830850 46367281312 47047292600 47731024880 49265236394 50565491900 50714213935 52350156320 52690092400 55622041090 55983223175 57001099960 57789133600 57959101640 59663781100 62701209956 63568046960 65437695400 67060117600 68187178400 71251374950 71658525664 71770375600 72448877050 73766129360 78376512445 79460058700 80904787040 81142742296 81430142800 88995265744 89573157080 92207661700 94094585200 95462049760 98530472788 101130983800 101428427870 105380184800 111244082180 111966446350 114002199920 115918203280 119327562200 123163090985 125402419912 127136093920 130875390800 139055102725 142502749900 143540751200 144897754100 147532258720 156753024890 158920117400 162285484592 162860285600 172428327379 177990531488 179146314160 184415323400 188189170400 197060945576 202261967600 202856855740 222488164360 223932892700 228004399840 231836406560 238655124400 246326181970 250804839824 253571069675 261750781600 278110205450 285005499800 289795508200 313506049780 317840234800 324570969184 344856654758 358292628320 368830646800 391882562225 394121891152 404523935200 405713711480 444976328720 447865785400 477310248800 492652363940 501609679648 507142139350 556220410900 570010999600 579591016400 615815454925 627012099560 635680469600 689713309516 737661293600 783765124450 788243782304 811427422960 862141636895 889952657440 895731570800 985304727880 1014284278700 1112440821800 1140021999200 1159182032800 1231630909850 1254024199120 1379426619032 1567530248900 1622854845920 1724283273790 1791463141600 1970609455760 2028568557400 2224881643600 2463261819700 2508048398240 2758853238064 3135060497800 3448566547580 3941218911520 4057137114800 4310708184475 4449763287200 4926523639400 5517706476128 6270120995600 6897133095160 8114274229600 8621416368950 9853047278800 12540241991200 13794266190320 17242832737900 19706094557600 27588532380640 34485665475800 68971330951600 137942661903200
- Sum of all divisors σ(n): 464972807366928
- Sum of proper divisors (its aliquot sum) s(n): 327030145463728
- 137942661903200 is an abundant number, because the sum of its proper divisors (327030145463728) is greater than itself. Its abundance is 189087483560528
Bases of 137942661903200
- Binary: 111110101110101010001110101110010110011011000002
- Hexadecimal: 0x7D75475CB360
- Base-36: 1CW9ZFBMU8
Squares and roots of 137942661903200
- 137942661903200 squared (1379426619032002) is 19028177972940544646170240000
- 137942661903200 cubed (1379426619032003) is 2624797520755255068441926289029600768000000
-
The
square root of 137942661903200 is 11744899.3994499587 -
The
cube root of 137942661903200 is 51669.3344506923
Scales and comparisons
How big is 137942661903200?- 137,942,661,903,200 seconds is equal to 4,386,149 years, 50 weeks, 20 hours, 13 minutes, 20 seconds.
-
To count from 1 to 137,942,661,903,200 would take you about ten million, nine hundred sixty-five thousand, three hundred seventy-four years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 137942661903200 cubic inches would be around 4305.8 feet tall.
Recreational maths with 137942661903200
- 137942661903200 backwards is 002309166249731
- The number of decimal digits it has is: 15
- The sum of 137942661903200's digits is 53
- More coming soon!
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"Number 137942661903200 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
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Numbermatics. (2024). Number 137942661903200 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/137942661903200/
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The information we have on file for 137942661903200 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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